Abstract

We describe the development and application of the
ab initio
No‐Core shell Model, in which the effective Hamiltonians are derived microscopically from realistic, high‐quality nucleon‐nucleon (NN) potentials plus various realistic three‐nucleon (NNN) potentials, as a function of the finite harmonic‐oscillator (HO) basis space. For presently feasible no‐core model spaces, we evaluate the effective Hamiltonians in a cluster approach, which is guaranteed to provide exact results for sufficiently large model spaces and/or sufficiently large clusters. A number of recent applications of the NCSM are given.